Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears sec A sec2(A/2) : sec B sec2(B/2) : sec C sec2(C/2)
= (1- sec A)csc2A : (1 - sec B)csc2B : (1 - sec C)csc2CBarycentrics tan A sec2(A/2) : tan B sec2(B/2) : tan C sec2(C/2)
X(273) lies on these lines: 2,92 4,7 19,653 27,57 28,272 29,34 53,1086 75,225 78,322 108,675 226,469 269,1111 317,320 458,894
X(273) = isogonal conjugate of X(212)
X(273) = isotomic conjugate of X(78)
X(273) = X(I)-Ceva conjugate of X(J) for these (I,J): (264,342), (286,7), (331,92)
X(273) = cevapoint of X(I) and X(J) for these (I,J): (4,278), (34,57)
X(273) = X(I)-cross conjugate of X(J) for these (I,J): (4,92), (57,85), (225,278)